Atkin-Lehner |
2- 71- |
Signs for the Atkin-Lehner involutions |
Class |
10082m |
Isogeny class |
Conductor |
10082 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
181440 |
Modular degree for the optimal curve |
Δ |
4656701521096192 = 29 · 717 |
Discriminant |
Eigenvalues |
2- -3 -4 3 0 -1 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-58917,-4403235] |
[a1,a2,a3,a4,a6] |
Generators |
[373:4854:1] |
Generators of the group modulo torsion |
j |
176558481/36352 |
j-invariant |
L |
3.1746768666931 |
L(r)(E,1)/r! |
Ω |
0.31087393972741 |
Real period |
R |
0.28366954334152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80656o1 90738q1 142a1 |
Quadratic twists by: -4 -3 -71 |